The algebraic cluster model. Three-body clusters

Details The algebraic cluster model. Three-body clusters The algebraic cluster model. Three-body clusters

2002-03-26

arxiv.org/abs/nucl-th/0203072v1

Annals Phys. 298 (2002) 334-360

Physics

Nuclear Physics

Nuclear Theory

31 pages, 10 figures, 5 tables. Annals of Physics (N.Y.), in press

Scientific paper

10.1006/aphy.2002.6255

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is concluded that the low-lying spectrum of $^{12}$C can be described by three alpha-particles at the vertices of an equilateral triangle, but not as a rigid structure. Large rotation-vibration interactions, Coriolis forces and vibration-vibration interactions are needed. Other interpretations, such as the harmonic oscillator and a soft deformed oscillator with SO(6) hyperspherical symmetry, appear to be excluded by electron scattering data.

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